A batted baseball is hit with a velocity of 47.3 m/s, starting from an initial height of 8 m. Find how high the ball travels in two cases:

Question

(a) a ball hit directly upward and

(b) a ball hit at an angle of 70° with respect to the horizontal.

Also find how long the ball stays in the air in each case.

case a

case b

Answer 1

a. h = (Vf^2 - Vo^2) / 2g,
h = (0 - 2237.29) / -19.6 = 114.15m.

b. Vo = 47.3m/s @ 70 deg.

Yo = ver. = 47.3sin70 = 44.45m/s.

h = (0 - (44.45)^2) / -19.6 = 100.8m.